Prove that 2+5√7 is an irrational number.

1.	Prove that 2+5√7 is an irrational number.
Answer» Let 2+5√7 is a rational numberHere,2+5√7=p÷q (q≠0) 5√7=p÷q-2 5√7=p-2q÷q P-2q÷q are rational numberSo,5√7 is rational number but this contradiction is incorrectHence,2+5√7 is an irrational number (proved)

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